What is 1000(1+(0.12)/(12))^{60} ?

The solution to 1000(1+(0.12)/(12))^{60} is (101^{60})/(10^{117)}

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simplify 1000(1+(0.12)/(12))^{60}

simplify

1000 (1 + \frac{0.12}{12})^{60}

\frac{10 1 ^{60}}{1 0 ^{117}}

Decimal Notation

1816.69669 \dots

Solution steps

1000 (1 + \frac{0.12}{12})^{60}

Simplify

1 + \frac{0.12}{12} : \frac{101}{100}

= 1000 (\frac{101}{100})^{60}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{101}{100})^{60} = \frac{10 1 ^{60}}{10 0 ^{60}}

= 1000 \cdot \frac{10 1 ^{60}}{10 0 ^{60}}

1000 \cdot \frac{10 1 ^{60}}{10 0 ^{60}} = \frac{10 1 ^{60}}{1 0 ^{117}}

= \frac{10 1 ^{60}}{1 0 ^{117}}

(\frac{x ^{- 2} y ^{3}}{x ^{2} y})^{- \frac{1}{2}} (\frac{x ^{3} y}{y ^{\frac{1}{2}}})^{2}

\frac{2 x ^{2} y ^{4} \cdot 4 x ^{2} y ^{4} \cdot 3 x}{3 x ^{- 3} y ^{2}}

2 x^{2} + 10 x + 11 = 0

\frac{4}{5} x = - 2

lo g_{4} (5) x^{2} + lo g_{4} (5) = 1

What is 1000(1+(0.12)/(12))^{60} ?
The solution to 1000(1+(0.12)/(12))^{60} is (101^{60})/(10^{117)}